12-(3m+6)=3+2m-17

Solution for 12-(3m+6)=3+2m-17 equation:

Simplifying
12 + -1(3m + 6) = 3 + 2m + -17

Reorder the terms:
12 + -1(6 + 3m) = 3 + 2m + -17
12 + (6 * -1 + 3m * -1) = 3 + 2m + -17
12 + (-6 + -3m) = 3 + 2m + -17

Combine like terms: 12 + -6 = 6
6 + -3m = 3 + 2m + -17

Reorder the terms:
6 + -3m = 3 + -17 + 2m

Combine like terms: 3 + -17 = -14
6 + -3m = -14 + 2m

Solving
6 + -3m = -14 + 2m

Solving for variable 'm'.

Move all terms containing m to the left, all other terms to the right.

Add '-2m' to each side of the equation.
6 + -3m + -2m = -14 + 2m + -2m

Combine like terms: -3m + -2m = -5m
6 + -5m = -14 + 2m + -2m

Combine like terms: 2m + -2m = 0
6 + -5m = -14 + 0
6 + -5m = -14

Add '-6' to each side of the equation.
6 + -6 + -5m = -14 + -6

Combine like terms: 6 + -6 = 0
0 + -5m = -14 + -6
-5m = -14 + -6

Combine like terms: -14 + -6 = -20
-5m = -20

Divide each side by '-5'.
m = 4

Simplifying
m = 4